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199019972400 = 24352179755881
BaseRepresentation
bin1011100101011010000…
…0111100011100110000
3201000201001012010100220
42321112200330130300
511230043103104100
6231232320413040
720243620565454
oct2712640743460
9630631163326
10199019972400
1177449649a37
12326a3477180
13159c92859a2
1498bdc92664
15529c3daaa0
hex2e5683c730

199019972400 has 120 divisors (see below), whose sum is σ = 675028987344. Its totient is φ = 49950105600.

The previous prime is 199019972369. The next prime is 199019972423. The reversal of 199019972400 is 4279910991.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4857541 + ... + 4898340.

Almost surely, 2199019972400 is an apocalyptic number.

199019972400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199019972400 is an abundant number, since it is smaller than the sum of its proper divisors (476009014944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199019972400 is a wasteful number, since it uses less digits than its factorization.

199019972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9755919 (or 9755908 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 51.

The spelling of 199019972400 in words is "one hundred ninety-nine billion, nineteen million, nine hundred seventy-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 9755881 19511762 29267643 39023524 48779405 58535286 78047048 97558810 117070572 146338215 156094096 165849977 195117620 234141144 243897025 292676430 331699954 390235240 468282288 487794050 497549931 585352860 663399908 731691075 780470480 829249885 975588100 995099862 1170705720 1326799816 1463382150 1658499770 1951176200 1990199724 2341411440 2487749655 2653599632 2926764300 3316999540 3902352400 3980399448 4146249425 4975499310 5853528600 6633999080 7960798896 8292498850 9950998620 11707057200 12438748275 13267998160 16584997700 19901997240 24877496550 33169995400 39803994480 49754993100 66339990800 99509986200 199019972400